@article {Zhou:2022:0736-2935:393, title = "A simple four-pole solution with FEM/BEM validation to estimate the effectiveness of compact resonators in large silencers", journal = "INTER-NOISE and NOISE-CON Congress and Conference Proceedings", parent_itemid = "infobike://ince/incecp", publishercode ="ince", year = "2022", volume = "264", number = "1", publication date ="2022-06-24T00:00:00", pages = "393-399", itemtype = "ARTICLE", issn = "0736-2935", url = "https://ince.publisher.ingentaconnect.com/content/ince/incecp/2022/00000264/00000001/art00041", doi = "doi:10.3397/NC-2022-747", author = "Zhou, H. and Wu, T. W. and Wang, P. and Engel, J. P.", abstract = "Large absorptive silencers are used in the power generation industry to abate intake or exhaust noise. They are very effective at mid to high frequencies; however, low-frequency performance is an area of concern for absorptive silencers. Hybrid baffles and bars with empty space reserved for a quarter wavelength duct design have been used to target low-frequency tonal noise with some success. Although, at times the hybrid baffles or bars themselves are not enough to reduce the low-frequency noise to an acceptable level. Synonymously, the overall high-frequency performance may suffer due to the loss of space that could be used for more dissipative elements such as absorptive baffles or bars. Compact resonators with a tapering neck may then be considered as an add-on to improve the low-frequency performance. In this paper, a simple four-pole solution is utilized to estimate the first natural frequency of a compact resonator. The end correction factor is then empirically correlated to the finite element method (FEM) or boundary element method (BEM) solution. The small compact devices have a potential application to provide engineers with a very flexible design add-on strategy without significantly altering the installed silencer design, and their target frequencies can also be adjusted depending on the situation.", }